A099281 Decimal expansion of the sine integral at 1.

9, 4, 6, 0, 8, 3, 0, 7, 0, 3, 6, 7, 1, 8, 3, 0, 1, 4, 9, 4, 1, 3, 5, 3, 3, 1, 3, 8, 2, 3, 1, 7, 9, 6, 5, 7, 8, 1, 2, 3, 3, 7, 9, 5, 4, 7, 3, 8, 1, 1, 1, 7, 9, 0, 4, 7, 1, 4, 5, 4, 7, 7, 3, 5, 6, 6, 6, 8, 7, 0, 3, 6, 5, 4, 0, 7, 9, 7, 9, 1, 8, 0, 8, 8, 7, 0, 2, 1, 3, 3, 0, 8, 1, 7, 4, 0, 7, 1, 1, 2, 1, 5, 0, 2, 3

Offset

0,1

References

HP 82480A Math Pac Owner's Manual For the HP-71, Section 11: Numerical Integration, Page 118.

Links

Table of n, a(n) for n=0..104.

Joseph K. Horn and O. Praem, Numerical Integration .

Formula

From Amiram Eldar, Aug 21 2020: (Start)

Equals Integral_{x=0..1} sin(x)/x dx.

Equals -Integral_{x=0..1} log(x)*cos(x) dx.

Equals Sum_{k>=0} (-1)^k/((2*k+1)*(2*k+1)!). (End)

Example

0.946083070367183014941353313823179657812337954738111790471454773...

Mathematica

RealDigits[ SinIntegral[1], 10, 105][[1]]

Prog

(PARI) intnum(x=0, 1, sinc(x)) \\ Charles R Greathouse IV, May 08 2015
(PARI) Pi/2-imag(eint1(-I)) \\ Charles R Greathouse IV, May 08 2015

Crossrefs

Cf. A099282, A257535.

Sequence in context: A172197 A016630 A213614 * A086240 A288240 A289267

Adjacent sequences: A099278 A099279 A099280 * A099282 A099283 A099284

Keyword

cons,nonn

Author

Robert G. Wilson v, Oct 08 2004

Status

approved